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Finding the Fourth Proportional to 334,505.90, 461,583.39 and 189,327.98

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Solution

The fourth proportional to 334,505.90, 461,583.39 and 189,327.98 is: 261,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,505.90 : 461,583.39 = 189,327.98 : x
  2. Step 2: Convert to fraction form
    334,505.90/461,583.39 = 189,327.98/x
  3. Step 3: Cross multiply
    334,505.90x = 461,583.39 × 189,327.98
  4. Step 4: Simplify right side
    334,505.90x = 87,390,650,830.25
  5. Step 5: Solve for x
    x = 87,390,650,830.25/334,505.90
  6. Step 6: Final answer
    x = 261,252.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.